Paper Citation Record · LEDGER

A new kind of numbers and related congruences

As of 4 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2607.07638.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.07638 v3

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:13:54.194743Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

verified exact0
verified fuzzy0
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 98619e0f-21d6-4d3c-992e-b98ca9da6c01 · outbound

This paper cites an unresolved cited work.

A new kind of numbers and related congruences Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:52.075673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20e3b93f-237d-4705-9d02-404de941f827 · outbound

This paper cites an unresolved cited work.

A new kind of numbers and related congruences Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:52.211377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b473a834-bebd-4a65-8164-7bd07a1dc2fc · outbound

This paper cites an unresolved cited work.

A new kind of numbers and related congruences Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:52.348903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1aace62a-8983-4e8d-aef4-8800b730db75 · outbound

This paper cites Franel,On a question of Laisant, L’Interm´ ediaire des Math´ ematiciens,1 (1894), 45–47.

A new kind of numbers and related congruences Franel,On a question of Laisant, L’Interm´ ediaire des Math´ ematiciens,1 (1894), 45–47

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:52.556445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7568874-c835-4356-9ff6-a0d359a8d113 · outbound

This paper cites an unresolved cited work.

A new kind of numbers and related congruences Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:52.804746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f6ec0a6-fd7c-43a1-b3cf-e62c3b9e63d2 · outbound

This paper cites Guo, G.-S.

A new kind of numbers and related congruences Guo, G.-S

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:52.954752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7576bd46-8ed0-47f2-9125-080522df413f · outbound

This paper cites Liu,Supercongruences for sums involving Domb numbers, Bull.

A new kind of numbers and related congruences Liu,Supercongruences for sums involving Domb numbers, Bull

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:53.111952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 890ac287-a0a2-4671-983b-1de3a70d2512 · outbound

This paper cites Mattarei and R.

A new kind of numbers and related congruences Mattarei and R

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:53.304750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48b498e3-47f7-4813-b886-d4f881b425f0 · outbound

This paper cites an unresolved cited work.

A new kind of numbers and related congruences Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:53.383892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0859e79-42eb-4b57-81b6-ded0686579f3 · outbound

This paper cites Sloane, Sequence A002895 (Domb numbers) at OEIS (On-Line Ency- clopedia of Integer Sequences), https://oeis.org/A002895.

A new kind of numbers and related congruences Sloane, Sequence A002895 (Domb numbers) at OEIS (On-Line Ency- clopedia of Integer Sequences), https://oeis.org/A002895

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:53.457501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ce51836-f51b-4196-a2ad-704086ed0724 · outbound

This paper cites Sun,Congruences for Franel numbers, Adv.

A new kind of numbers and related congruences Sun,Congruences for Franel numbers, Adv

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:53.557128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3e00e49-7038-4a92-ac76-adaf7377d1f3 · outbound

This paper cites Sun,Arithmetic theory of harmonic numbers, Proc.

A new kind of numbers and related congruences Sun,Arithmetic theory of harmonic numbers, Proc

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:53.594770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 452c1fb3-226c-4608-82bb-1d007dc314d6 · outbound

This paper cites Sun,Conjectures and results onx 2 modp 2 with4p=x 2 +dy 2, in: Number Theory and Related Area (eds., Y.

A new kind of numbers and related congruences Sun,Conjectures and results onx 2 modp 2 with4p=x 2 +dy 2, in: Number Theory and Related Area (eds., Y

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:53.724838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d63b9def-71b0-4ca7-93d7-0fe46a22ebff · outbound

This paper cites Sun,Conjectures involving arithmetical sequences, in: Number Theory: Arithmetic in Shangri-La (eds., S.

A new kind of numbers and related congruences Sun,Conjectures involving arithmetical sequences, in: Number Theory: Arithmetic in Shangri-La (eds., S

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:53.811909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2800950-e088-4c65-915c-8d0667aec2dd · outbound

This paper cites Sun,Congruences involvingg n(x) = Pn k=0 n k 22k k xk, Ramanujan J.

A new kind of numbers and related congruences Sun,Congruences involvingg n(x) = Pn k=0 n k 22k k xk, Ramanujan J

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:53.884846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3cdb08cd-bbb5-470c-9f1e-4d29362baf8b · outbound

This paper cites Sun,Open conjectures on congruences, Nanjing Univ.

A new kind of numbers and related congruences Sun,Open conjectures on congruences, Nanjing Univ

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:53.994766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7291fbc0-7e7f-4564-a884-ea55b8181b85 · outbound

This paper cites Sun,New type series for powers ofπ, J.

A new kind of numbers and related congruences Sun,New type series for powers ofπ, J

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:54.100810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23fff7c1-23aa-4cfe-bd92-62a2165833b8 · outbound

This paper cites Wolstenholme,On certain properties of prime numbers, Quart.

A new kind of numbers and related congruences Wolstenholme,On certain properties of prime numbers, Quart

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T08:13:54.194743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.